Low energy, continuum models for the electronic density of states, band structure, and transport properties of twisted bilayer materials
[1]}, [2]} were derived that predicted the existence of correlated physics (superconducting and Mott insulator phases) at the “magic angle."
More general formulations using the local configuration or distregistry for incommensurate atomistic structures (without a supercell approximation) were later developed and rigorously analyzed [3]}, [4]}, [5]}, [6]}, [5]}. All of these approaches assumed that each lattice remains rigid when twisted and then placed on another lattice, and hence each possible stacking (see Figure REF ) is sampled uniformly over the moiré unit cell.
